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GCD of 790, 825, 48 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 790, 825, 48 quickly. Get the easiest ways to solve the greatest common divisor of 790, 825, 48 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 790, 825, 48 with Factoring?

Given Input numbers are 790, 825, 48

In the factoring method, we have to find the divisors of all numbers

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48


GCD of numbers is the greatest common divisor

So, the GCD (790, 825, 48) = 1.

Find GCD of 790, 825, 48 using Prime Factorization

Given numbers are 790, 825, 48

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 790, 825, 48 using LCM Formula

Given numbers are 790, 825, 48

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(790, 825) = 130350

GCD(790, 825) = ( 790 x 825 ) / 130350

= 790 / 825

= 790


Step2:

LCM(5, 48) = 240

GCD(5, 48) = ( 5 x 48 ) / 240

= 5 / 48

= 5


So, Greatest Common Divisor of 790, 825, 48 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 790, 825, 48

Given numbers are 790, 825, 48
The greatest common divisor of numbers 790, 825, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 825, 48 is 1.

FAQs on GCD of 790, 825, 48 Calculator

1. What is the GCD of 790, 825, 48?

GCD of given numbers 790, 825, 48 is 1


2. How to calculate the greatest common divisor of 790, 825, 48?

We can find the highest common divisor of 790, 825, 48 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 790, 825, 48 i.e 1.


3. How can I use the GCD of 790, 825, 48Calculator?

Out the numbers 790, 825, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.